What is the Greatest Common Factor of 74034 and 74052?

Greatest common factor (GCF) of 74034 and 74052 is 18.

GCF(74034,74052) = 18

We will now calculate the prime factors of 74034 and 74052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74034 and 74052.

How to find the GCF of 74034 and 74052?

We will first find the prime factorization of 74034 and 74052. After we will calculate the factors of 74034 and 74052 and find the biggest common factor number .

Step-1: Prime Factorization of 74034

Prime factors of 74034 are 2, 3, 457. Prime factorization of 74034 in exponential form is:

74034 = 2¹ × 3⁴ × 457¹

Step-2: Prime Factorization of 74052

Prime factors of 74052 are 2, 3, 11, 17. Prime factorization of 74052 in exponential form is:

74052 = 2² × 3² × 11² × 17¹

Step-3: Factors of 74034

List of positive integer factors of 74034 that divides 74034 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 457, 914, 1371, 2742, 4113, 8226, 12339, 24678, 37017

Step-4: Factors of 74052

List of positive integer factors of 74052 that divides 74034 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 121, 132, 153, 187, 198, 204, 242, 306, 363, 374, 396, 484, 561, 612, 726, 748, 1089, 1122, 1452, 1683, 2057, 2178, 2244, 3366, 4114, 4356, 6171, 6732, 8228, 12342, 18513, 24684, 37026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74034 and 74052. The biggest common factor number is the GCF number.
So the greatest common factor 74034 and 74052 is 18.

Also check out the Least Common Multiple of 74034 and 74052